34 citations · 129 across the 27 of their papers we have counts for
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math.HO2012★ 34 cited
Leibniz's Laws of Continuity and Homogeneity
Mikhail G. Katz, David Sherry
We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infin…
math.FA2012★ 34 cited
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics
Vladimir Kanovei, Mikhail G. Katz, Thomas Mormann
We examine some of Connes' criticisms of Robinson's infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but t…
math.DG2012★ 9 cited
A proof via the Seiberg-Witten moduli space of Donaldson's theorem on smooth 4-manifolds with definite intersection forms
Mikhail G. Katz
A proof via the Seiberg-Witten moduli space of Donaldson's theorem on smooth 4-manifolds with definite intersection forms.